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I have now modified the reliability and stability formulas to these:

$r1 = ($n / ($n + 9)) - (($gamessofar[$p1] + 1) / (10*$gamessofar[$p1] + 100));
$r2 = ($n / ($n + 9)) - (($gamessofar[$p2] + 1) / (10*$gamessofar[$p2] + 100));
$s1 = (($gamessofar[$p1] + 1) / ($gamessofar[$p1] + 5)) - ($n / (5*$n + 100));
$s2 = (($gamessofar[$p2] + 1) / ($gamessofar[$p2] + 5)) - ($n / (5*$n + 100));

$n is the number of games two players have played together, and $gamessofar holds the number of games that have so far factored into the ratings of each player. I have modified each formula by subtracting a small fraction based on what determines the other. The fraction subtracted from reliability has a limit of .1, which is otherwise the lower boundary of reliability. The fraction subtracted from stability has a limit of .2, which is otherwise the lower boundary of stability. These have been introduced as erosion factors. A very high stability or reliability erodes the other, and may do so to a limit of zero. Thus, the more games won by one person against another increases the point gain for the winner ever closer to a limit of 400. Likewise, the more single games won by someone against separate individuals also allows his point gain to get closer to a limit of 400. Also, these changes have increased the accuracy slightly.